### Question 17

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• \[ s\sqrt{2} = 10\sqrt{2} \]
• \[ s = 10 \]
• \[ s^2 = 10^2 = 100 \, \text{square centimeters} \]
• \[ S_n = \frac{n}{2} (2a + (n-1)d) \]
• \[ 150 = \frac{10}{2} (2 \times 5 + 9d) \]
• \[ 150 = 5 (10 + 9d) \]

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